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Characterizing Feshbach resonances in ultracold scattering calculations.

Frye, Matthew D. and Hutson, Jeremy M. (2017) 'Characterizing Feshbach resonances in ultracold scattering calculations.', Physical review A., 96 (4). 042705.


We describe procedures for converging on and characterizing zero-energy Feshbach resonances that appear in scattering lengths for ultracold atomic and molecular collisions as a function of an external field. The elastic procedure is appropriate for purely elastic scattering, where the scattering length is real and displays a true pole. The regularized scattering length procedure is appropriate when there is weak background inelasticity, so that the scattering length is complex and displays an oscillation rather than a pole, but the resonant scattering length a res is close to real. The fully complex procedure is appropriate when there is substantial background inelasticity and the real and imaginary parts of a res are required. We demonstrate these procedures for scattering of ultracold 85 Rb in various initial states. All of them can converge on and provide full characterization of resonances, from initial guesses many thousands of widths away, using scattering calculations at only about ten values of the external field.

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Publisher statement:Reprinted with permission from the American Physical Society: Frye, Matthew D. & Hutson, Jeremy M. (2017). Characterizing Feshbach resonances in ultracold scattering calculations. Physical Review A 96(4): 042705 © 2017 by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.
Date accepted:No date available
Date deposited:01 November 2017
Date of first online publication:11 October 2017
Date first made open access:01 November 2017

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